Answer :
To combine like terms in the expression [tex]\(9x^4 - 3x^4\)[/tex], you perform the following steps:
1. Identify Like Terms:
- Both terms, [tex]\(9x^4\)[/tex] and [tex]\(-3x^4\)[/tex], have the same variable part [tex]\(x^4\)[/tex], so they are like terms.
2. Combine the Coefficients:
- You subtract the coefficients (the numbers in front of the variables) of these like terms.
- The coefficient of the first term is 9, and the coefficient of the second term is -3.
- Subtract the second coefficient from the first: [tex]\(9 - 3 = 6\)[/tex].
3. Rewrite the Expression:
- Combine the coefficients with the variable part to get [tex]\(6x^4\)[/tex].
So, the combined expression is [tex]\(6x^4\)[/tex].
1. Identify Like Terms:
- Both terms, [tex]\(9x^4\)[/tex] and [tex]\(-3x^4\)[/tex], have the same variable part [tex]\(x^4\)[/tex], so they are like terms.
2. Combine the Coefficients:
- You subtract the coefficients (the numbers in front of the variables) of these like terms.
- The coefficient of the first term is 9, and the coefficient of the second term is -3.
- Subtract the second coefficient from the first: [tex]\(9 - 3 = 6\)[/tex].
3. Rewrite the Expression:
- Combine the coefficients with the variable part to get [tex]\(6x^4\)[/tex].
So, the combined expression is [tex]\(6x^4\)[/tex].
